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Finding the Fourth Proportional to 825,984,005.10, 1,238,976,007.65 and 578,744,529.90

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Solution

The fourth proportional to 825,984,005.10, 1,238,976,007.65 and 578,744,529.90 is: 868,116,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,984,005.10 : 1,238,976,007.65 = 578,744,529.90 : x
  2. Step 2: Convert to fraction form
    825,984,005.10/1,238,976,007.65 = 578,744,529.90/x
  3. Step 3: Cross multiply
    825,984,005.10x = 1,238,976,007.65 × 578,744,529.90
  4. Step 4: Simplify right side
    825,984,005.10x = 717,050,587,104,778,112
  5. Step 5: Solve for x
    x = 717,050,587,104,778,112/825,984,005.10
  6. Step 6: Final answer
    x = 868,116,794.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.